Answer:
m<IJL = 48
Step-by-step explanation:
<IJL = x
100 - 52 = x
x = 48
Find the derivative of the curve to find the line slope at the given point
sqrt(xy) + 4 dy/dx = 39
0.5(xy)^(-0.5) * (y + x dy/dx) + 4dy/dx= 0
No need to amplify simply plug in the given point ( 1,9)
0.5 ( 1 * 9)^(-0.5)* ( 9 + dy/dx) + 4dy/dx = 0
Solve for dy/dx
1/6( 9 + dy/dx) = -4dy/dx
9 + dy/dx = -24 dy/dx
-25dy/dx = 9
dy/dx = -9/25
as your question implies , you know the rest of the steps.
Answer:
18
Step-by-step explanation:
Do you see a pattern? Each time it decreased by 3. 33-3=30, 30-3=27, the pattern goes on, just do the same with the last shown number. 21-3=18
Defining C(n,r) as the number of combinations (order does not count) to choose r objects from n, where C(n,r)=n!/(r!(n-r)!)
there are
C(58,3) ways to choose 3 from 58 republicans,
and
C(39,2) ways to choose 2 from 39 democrats.
So the committee has
(C(58,3)*(C(39,2)) variants, or
58!/(3!55!) * 39!/(2!37!)
=30856*741
=22864296
These functions are in the form y=mx+b
Therefore, we know that in g(x) = x+2, the y-intercept is 2.
For f(x) = x-1, the y-intercept is -1.
Now find the difference between them.
2-(-1)= 3
The y-intercept for f(x) is 3 units below g(x)
